Q. 55.0( 2 Votes )

# Construct a quadrilateral *ABCD* given *AD =* 5 cm, A*B* = 5.5 cm, *BC* = 2.5 cm, *AC* = 7.1 cm and *BD* = 8 cm.

Answer :

As three sides and two diagonals of quadrilateral is given.

Step 1-Using SSS construction condition first we will draw ΔABD. Draw line BD of length 8 cm.

Step 2- Then using compass take a length of 5.5 cm and draw an arc by taking B as centre. Do the same by taking D as centre and length of 5 cm.

Step 3-Now join the intersection point to B and D and label it as A.

Step 4- Now for vertex D, using compass take a length of 7.1 cm and draw an arc by taking A as centre. Do the same by taking B as centre and length of 2.5 cm.

Step 5-Join the intersection point to A and C and label it as B.

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